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Finding the Fourth Proportional to 4,637.64, 6,922.72 and 4,295.01

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Solution

The fourth proportional to 4,637.64, 6,922.72 and 4,295.01 is: 6,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.64 : 6,922.72 = 4,295.01 : x
  2. Step 2: Convert to fraction form
    4,637.64/6,922.72 = 4,295.01/x
  3. Step 3: Cross multiply
    4,637.64x = 6,922.72 × 4,295.01
  4. Step 4: Simplify right side
    4,637.64x = 29,733,151.63
  5. Step 5: Solve for x
    x = 29,733,151.63/4,637.64
  6. Step 6: Final answer
    x = 6,411.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.